Currently your Left and Right loops are superfluous, as each loop iteration does exactly the same thing. But to write a version where the width can change, you could use those loops and change the indices inside the loop.... or you could easily combine them all into one loop, like this:
function output = CTask2p1_f(x, width)
% ADD COMMENTS and INPUT and OUTPUT DESCRIPTIONS!
%
assert(mod(width,2)==1,'width must be odd')
%
output = x; % preallocate for efficiency
offset = fix(width/2);
for k = 1:numel(x)
idx = max(1,k-offset):min(numel(x),k+offset);
output(k) = mean(x(idx));
end
end
